# Specific Heat Problems

### What they are and how to solve them

## Definition of Specific Heat Capacity

The amount of energy necessary to raise the temperature of 1g (gram) of a substance 1°C (celsius).

## Formula: ɋ=mcΔT

## What do I plug in and where?

The formula for specific heat problems is

**ɋ=mcΔT**In order to solve for our answer, we have to plug the numbers in to the formula. In order to plug in the numbers, we need to know where they go.

The **"ɋ"** in the formula is __where the heat goes.__ The heat is in joules ( J ). If the heat is being **absorbed** it is **positive.** If the heat is being **released** it is **negative. **

The **"m" **in the formula is for __the mass.__ The mass is typically given in grams ( g ) but sometimes you will have a problem in kg. In this case you'll have to **convert kg to g. **

The **"c"** in the formula is where the__ specific heat capacity__ goes. The specific heat capacity is given to you in **J/g °C.**

The **"ΔT"** in the formula is** **__the change in temperature.__ You are usually expected to calculate this on your own. **It should always be in °C.**

## Step One Read the equation and plug in what goes where in the formula. Then begin to solve the problem with the necessary steps. | ## Step Two In this example problem you first will multiply 100g with 60°C. We are trying to get the "c" alone in order to find the specific heat capacity. | ## Step Three You will then divide both sides by 6000 to get the "c" alone. |

## Step One

Read the equation and plug in what goes where in the formula. Then begin to solve the problem with the necessary steps.

## Step Two

In this example problem you first will multiply 100g with 60°C. We are trying to get the "c" alone in order to find the specific heat capacity.

## Step Four After dividing 2500J by 6000g°C you should get the answer. | ## Step Five The answer should be c=0.4 J/g°C | ## Step Six If you did it correct, pat yourself on the back! If not, try it again and watch the video at the bottom of the page to help you understand better. |